Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 3 sin(2x) =D %3D cos(2x) = %3D tan(2x) =

Q: 4. | e2x cos 3x dx

A: NOTE: You have posted multiple questions, we have solved the first question for you, if there is a…

Q: y-(x-5)2 + Sin-l XY 4.

A: To expand: y-(x-5)2+sin-1xyx+5.

Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: X COS 4x dx;

A:

Q: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

A:

Q: y = c, e2* cos 3x+C, e²* sin 3x

A:

Q: Find the slope of the curve 2xy = In(e2*) sin(x) at the point (2,2)

A:

Q: 4. The value of fx sin(x²+3) dx Acos (x²+) + C C. cos (x²+)+C B. -cos (x²+)+C D. -cos (x²+) + C

A:

Q: Find the general solution of tan x dx + y cos? x dy = 0.

A: Use seperation of Variables.

Q: 1. Determine the general solution of this equation in terms of C ( sin y- ysin x) dx + (cos x + x…

A: We have the following solution for given ODE:

Q: fe²x+Inx² sin x² dx = - +1/√√e²x cos x² dx

A:

Q: -2 e* sin(x) -dx 1+ x2

A: the solution is as follow we will solve the given problem by numerical method  Trapezoidal rule

Q: Find the general solution of cos x dy + (y sin x – 1) dx = 0

A:

Q: determine the annihilator of the givenfunction. F(x) = 4e−2x sin x.

A: Given F(x)=4e-2xsinx The given function is of the form eaxsinbx Corresponding "Roots of polynomial"…

Q: /2 (e) [™¹², sin(x) cos(x)dx

A:

Q: fe²x+Inx² sin x² dx = +²√e²x cos x² dx

A:

Q: Solve the equation for x.

A:

Q: x fare cos = dx 2

A: Indefinite Integration

Q: sin²x dx cos x

A: To decompose the given integral we have to use some basic trigonometric formulas.   We know that,…

Q: 2) S e3se c(x), sec(x). tan(x) dx

A: Given: The integral is ∫e3sec x·secx·tanx dx

Q: (a) / sin sin(8x) + cos(7.x) dx (b) / (3x – 5 sin dx 2 (c) / cos(3t) + sin(5t) dt

A:

Q: 11.) F sin (x)cos²(x)dx 2

A: Note:   As per our company policy we should answer only one question each time, so please repost the…

Q: 3e" + 3x + 10 cos x + 2)dx .2

A:

Q: find sin x cos? x dx 75. 76. sin 2x sin (cos 2x) dx er dx et + e* (e2x + e)² dx 77. 78. x + 1 e* + 1…

A:

Q: S cos(3x – 2n) cos (x + t) dx

A: We know that, 2cosAcosB=cos(A+B)+cos(A-B) Also, ∫cosxdx=sinx

Q: Determine Yp using undetermined coefficients: 2. (D2-1) y = e-x (2 sin x + 4 cos x)

A: The solution of the problem is given in the next step.

Q: cos x 3. f sin³x dx (2 + sin?x) + C 3 4. S* x sin 2x dx 1-9x2 5. S sin-1 3x dx + x sin-1 3x + C 3

A: Q - 3

Q: Eliminate the arbitrary constant ln y = c, sin 3x + c2 cos 3x + 9x^2 -2

A:

Q: 1. S(tan -1) dp 2. sin2 B cos ß dB 3. S: xdx -7-8x-x

A:

Q: 3. fe2x+Inx² sin x² dx = = 2x -+√e²x cos x² dx

A:

Q: The antiderivative of Cos(3x)

A:

Q: Find values for the constants a, b, and c that will make ƒ(x) = cos x and g(x) = a + bx + cx2…

A: Consider the following functions: fx=cosxgx=a+bx+cx2 f0=g0cos0=a+b×0+c×021=a+0+0a=1 Hence, the value…

Q: find a linear homogenous constant coefficient equation with the given solution: y(x) =…

A:

Q: x2 Q1 (x sin x+cos x) -dx

A: For integrating the given integral we will use the below-mentioned integration formulas…

Q: x2 Q1 S (x sin x+cosx)2 dxp

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3x e COs x dx

A: To evaluate:∫e3xcosxdx

Q: 1 dx 3 sin x+4 cos x+3

A:

Q: Find the solution of the equation Cos y which tends to zero as x - 0o and has the value cos y when x…

A:

Q: Find the solution of the equation = e Cos y ax ay which tends to zero as x → 0o and has the value…

A:

Q: Find the solution of the equation +. cos y which tends to zero as x → 0o and has the value cos y…

A:

Q: =1+ cos (x) x2 + 12x + 20 -dx 1 + cos² (x) 0. At what value of t does the local max of f(t) occur?

A: Given that f(t)=∫0tx2+12x+201+cos2 xdx To find the local maximum of f(t) at t:

Q: Find a particular solution by inspection of d²y dx2 +y = -7+e* + cos 2x – 10 sin x

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 5 dx 3 dx, x> Find V25x-9 0 sin 13x+c -13x+C InV1+9x +3x +c 5x 25x2-9 in 3 + C 3 In 5x 25x2-9 + C 3.…

A:

Q: 4) e (). – | T|x² – 4| CoS - 2 2x sin sin² ( T|x² 19 dx 2 -3

A: Integrate

Q: Q1-Find S sin 3x e4* dx

A: let I=∫sin3x e4xdx using by parts I=e4x∫sin3x-∫ddxe4x∫sin3xdxdx simplify I=e4x∫sin3x-∫12e4xcos3xdx…

Q: (b) Determine cos(x²) 2x dx by using substitution method.

A:

Q: 4x Cos x dx b.

A: Given :

Q: e3x [7 sin 7x + 3 cos 7x] +C 58

A: " Since you have asked multiple question , we will solve the first question for you. If you want any…

Q: dx 3+2 cos x

A: The value of the given integral is 2√5/5 Arctan[√5/5 tan(1/2 x)] + c

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.